690144 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 179712.

The previous prime is 690143. The next prime is 690163. The reversal of 690144 is 441096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697 + ... + 8775.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁶⁹⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

690144 is an abundant number, since it is smaller than the sum of its proper divisors (1567776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

690144 is a wasteful number, since it uses less digits than its factorization.

690144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 690144 is about 830.7490595842. The cubic root of 690144 is about 88.3717059658.

The spelling of 690144 in words is "six hundred ninety thousand, one hundred forty-four".